Analytical Solutions for a New Form of the Generalized q-Deformed Sinh–Gordon Equation: ∂2u∂z∂ζ=eαu[sinhq(uγ)]p−δ-Reference-Cited by-同舟云学术

Analytical Solutions for a New Form of the Generalized q-Deformed Sinh–Gordon Equation: ∂2u∂z∂ζ=eαu[sinhq(uγ)]p−δ

Published:2023-02-10 Issue:2 Volume:15 Page:470
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Ali Khalid K.¹^ORCID,Alrebdi Haifa I.²^ORCID,Alsaif Norah A. M.²,Abdel-Aty Abdel-Haleem³⁴^ORCID,Eleuch Hichem⁵⁶⁷^ORCID

Affiliation:

1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo 11884, Egypt

2. Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

3. Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia

4. Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

5. Department of Applied Physics and Astronomy, University of Sharjah, Sharjah P.O. Box 27272, United Arab Emirates

6. College of Arts and Sciences, Abu Dhabi University, Abu Dhabi P.O. Box 59911, United Arab Emirates

7. Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA

Abstract

In this article, a new version of the generalized q-deformed Sinh–Gordon equation is presented, and analytical solutions are developed for specific parameter sets using those equations. There is a possibility that the new equation can be used to model physical systems that have broken symmetries and include also effects related to amplification or dissipation. In addition, we have include some illustrations that depict the varied patterns of soliton propagation.

Funder

Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/2/470/pdf

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